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Finding the Fourth Proportional to 720.42, 994.14 and 409.92

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Solution

The fourth proportional to 720.42, 994.14 and 409.92 is: 565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.42 : 994.14 = 409.92 : x
  2. Step 2: Convert to fraction form
    720.42/994.14 = 409.92/x
  3. Step 3: Cross multiply
    720.42x = 994.14 × 409.92
  4. Step 4: Simplify right side
    720.42x = 407,517.87
  5. Step 5: Solve for x
    x = 407,517.87/720.42
  6. Step 6: Final answer
    x = 565.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.